The image shows the expression:

$\frac{2}{3} + \frac{1}{2} + \frac{1}{4}$

We need to simplify this expression and provide the answer as a whole number, fraction, or mixed number.

Step-by-Step Solution:

1. Find the Least Common Denominator (LCD):

   The denominators in the fractions are 3, 2, and 4. The least common multiple of these numbers is 12. Thus, the LCD is 12.

2. Convert each fraction to have the LCD as the new denominator:

   • For $\frac{2}{3}$:
     $\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}$
   • For $\frac{1}{2}$:
     $\frac{1}{2} = \frac{1 \times 6}{2 \times 6} = \frac{6}{12}$
   • For $\frac{1}{4}$:
     [ \frac{1}{4} = \frac{1 \times 3}{4 \times 3}